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Finding the Third Proportional to 150,464 and 336,576

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Solution

The third proportional to 150,464 and 336,576 is: 752,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,464 : 336,576 = 336,576 : x
  2. Step 2: Convert to fraction form
    150,464/336,576 = 336,576/x
  3. Step 3: Cross multiply
    150,464x = 336,576 × 336,576
  4. Step 4: Simplify right side
    150,464x = 113,283,403,776
  5. Step 5: Solve for x
    x = 113,283,403,776/150,464
  6. Step 6: Final answer
    x = 752,893.74

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.